Noise Removal Using Anisotropic Diffusion With Constraints

Digital Image Processing is also called Computer Image Processing. With the development of the computer technique today,digital image proccessing has been one of the new-research fields.There are a lot of methods for image processing research,such as probabil-ity,statistics and partial differential equations(PDEs).It is a new research field to use partial differential equations in image processing.In this field,there are a number of theoretical and practical questions that waited to be studied and solved. Many of the PDEs have been used in image processing and computer vision. And it has attracted a lot of mathematicians' attention.In this paper,we mainly do image processing with PDEs.As we know the work of Perona and Malik on anisotropic diffusion has been one of the most influential papers in the area.They proposed replacing Gaussian smothing,equivalent to isotropic diffusion by means of the heat flow,with a selective diffusion that preserves edges.Their work opened mang theoretical and practical questions that continue to occupy the PDE image processing community.This is the basis of our work. The approach we used in this paper for image denoising is P-M diffusion but we will do image denoising with the constraints. Also we wish to compare our result with some related methods and the experiment show our methods' validity.